Question: As in Problem 14.4a a charge e moves in simple harmonic motion along the z axis, z(t') = ? cos( w 0 t?). (a) Show

As in Problem 14.4a a charge e moves in simple harmonic motion along the z axis, z(t') = ? cos(w0t?).

(a) Show that the instantaneous power radiated per unit solid angle is?

sin'e cos (wat') dP(t) e'cB* 4 ( 1 + B cos 0

where ? = ? w0/?.

(b) By performing a time averaging, show that the average power per unit solid angle is

sin wat) dN

(c) Make rough sketches of the angular distribution for nonrelativistic and relativistic motion.

sin'e cos (wat') dP(t) e'cB* 4 ( 1 + B cos 0 sin wat) dN

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